2251260400480 has 96 divisors (see below), whose sum is σ = 6545972591424. Its totient is φ = 712486803456.

The previous prime is 2251260400463. The next prime is 2251260400483. The reversal of 2251260400480 is 840040621522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251260400483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77295207 + ... + 77324326.

It is an arithmetic number, because the mean of its divisors is an integer number (68187214494).

Almost surely, 2^{2251260400480} is an apocalyptic number.

2251260400480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251260400480 is an abundant number, since it is smaller than the sum of its proper divisors (4294712190944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251260400480 is a wasteful number, since it uses less digits than its factorization.

2251260400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154619568 (or 154619560 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 2251260400480 in words is "two trillion, two hundred fifty-one billion, two hundred sixty million, four hundred thousand, four hundred eighty".